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Finding the Fourth Proportional to 282,627, 423,941.50 and 85,635

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Solution

The fourth proportional to 282,627, 423,941.50 and 85,635 is: 128,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,627 : 423,941.50 = 85,635 : x
  2. Step 2: Convert to fraction form
    282,627/423,941.50 = 85,635/x
  3. Step 3: Cross multiply
    282,627x = 423,941.50 × 85,635
  4. Step 4: Simplify right side
    282,627x = 36,304,230,352.50
  5. Step 5: Solve for x
    x = 36,304,230,352.50/282,627
  6. Step 6: Final answer
    x = 128,452.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.